Publications, preprints, talks

 

  1. "Branching of terms for the one-dimensional Schroedinger equation." (Differential Equations 1997) ps (in russian) ps (in english)
  2. "On operators admitting decomposition of index formulas for spectral boundary value problems" (Dokladi Math., 1999) ps (in russian)
  3. "On the invariant index formulas for spectral boundary value problems" (with B.-W. Schulze and B.Yu. Sternin) (Differential Equations, 1999) dvi
  4. "Elliptic operators in even subspaces" (with B.Yu. Sternin) (Sbornik Mathematics, 1999) math.DG/9907027
  5. "Elliptic operators in odd subspaces" (with B.Yu. Sternin) (Sbornik Mathematics, 2000) math.DG/9907039
  6. "Subspaces defined by pseudodifferential operators and their applications" (with B.Yu. Sternin)(Dokladi Math., 2000) dvi
  7. PhD thesis at Moscow State University. “Elliptic operators in subspaces” 2000   ps (in russian)
  8. "Elliptic operators in subspaces and the Eta invariant" (with B.-W.Schulze and B.Yu.Sternin) (K-theory Journal, 2002) math.DG/9907047
  9. "Eta invariant and Pontrjagin duality" (with B.Yu. Sternin) (Math. Notes 2002) math.KT/0006046
  10. "On the homotopy classification problem of elliptic boundary value problems" (with B.Yu. Sternin) (Dokladi Math., 2001) ps (in russian)
  11. “On the homotopy classification of elliptic boundary value problems” (with B.-W. Schulze and B.Yu. Sternin) (in Book: Partial differential equations and spectral theory: PDE2000) ps
  12. “Eta-invariant and parity conditions” (with B.Yu. Sternin) (Dokladi Math. 2001) ps (in russian)
  13. "Eta invariant and parity conditions" (with B. Yu. Sternin) (Advances in Mathematics 2004) ps
  14. "The eta invariant and elliptic operators in subspaces" (with B.-W. Schulze, B.Yu. Sternin) (Proceedings of the Conference Jean Leray 1999) ps
  15. “Index defects in the theory of spectral boundary value problems” (with B.Yu. Sternin) math.KT/0211177 (EPAG, ed. J. Gil, T. Krainer, I.Witt)
  16. “Index defects in the theory of nonlocal boundary value problems and the eta-invariant” (with B. Yu. Sternin) (Sbornik.Mathematics 2004)   math.KT/0108107
  17. “On the definintion of PsiDO on manifolds with singularities” (with V.E.Nazaikinskii,B.Yu.Sternin) (Doklady Math,2004)
  18. “On the index of differential operators on manifolds with edges” (with V.E.Nazaikinskii,B.Yu.Sternin,B.-W.Schulze) (Doklady Math,2004)
  19. “On the existence of elliptic problems on manifolds with edges” (with V.E.Nazaikinskii,B.Yu.Sternin,B.-W.Schulze) (Doklady Math,2004)
  20. “On pseudodifferential operators on manifolds with edges” (with V.E.Nazaikinskii,B.Yu.Sternin,B.-W.Schulze) (Doklady Math,2004)
  21.  “On pseudodifferential operators on manifolds with singularities and localization” (with V.E.Nazaikinskii,B.Yu.Sternin,B.-W.Schulze) (Doklady Math,2005)
  22. “On the index of a class of nonlocal operators” (with B.Yu.Sternin) (Proc.KROMSH 2003 in Crimea)
  23. “Guillemin Transform and Toeplitz Representations for Operators on Singular Manifolds” (with V.E.Nazaikinskii,G. Rozenblum, B.Yu.Sternin) (Contemp.Math. 2005) math.AP/0503267
  24. “Boundary value problems on manifolds with fibered boundary” (with B.Yu. Sternin) (Math Nachrichten 2005) math.OA/0207179
  25.  “Elliptic operators on manifolds with singularities and K-homology” (K-theory journal 2005) math.OA/0403335
  26.  “On the index of elliptic operators on manifolds with edges”, (with V.E.Nazaikinskii,B.Yu.Sternin,B.-W.Schulze) (Sbornik.Mathematics 2005).
  27.   “On the index of elliptic operators on manifolds with edges”, (with V.E.Nazaikinskii,B.Yu.Sternin,B.-W.Schulze) (Contemp. Math. 2005).
  28. “Elliptic theory on singular manifolds” book (with V.E.Nazaikinskii,B.Yu.Sternin,B.-W.Schulze) (CRC press 2005)
  29. Pseudodifferential operators on stratified manifolds, parts I and II (with V.E. Nazaikinskii and B.Yu.Sternin) (Differential Equations 2007) math.AP/0512025
  30. Pseudodifferential operators on stratified manifolds (with V.E. Nazaikinskii and B.Yu.Sternin) (Doklady Math 2006)
  31. Homotopy classification of elliptic operators on stratified manifolds (with V.E. Nazaikinskii and B.Yu.Sternin) (Doklady Math 2006)
  32. Homotopy classification of elliptic operators on stratified manifolds (with V.E. Nazaikinskii and B.Yu.Sternin) (submitted) math.KT/0608332
  33. Pseudodifferential operators in subspaces and their applications (with B.Yu. Sternin) (in Proceedings of Conf. in Bedlewo 2004)
  34. Elliptic theory on manifolds with corners: I. Dual manifolds and pseudodifferential operators. (with V.E. Nazaikinskii and B.Yu.Sternin) (submitted) math.OA/0608353
  35. Elliptic theory on manifolds with corners: II. Homotopy classification and K-homology. (with V.E. Nazaikinskii and B.Yu.Sternin) (submitted) math.KT/0608354
  36. On the homotopy classification of elliptic operators on manifolds with corners. (with V.E. Nazaikinskii and B.Yu.Sternin) (Doklady Math 2006) in print

 

 

Talks

1998 

On the invariant index formulas for spectral boundary value problems, Workshop in Potsdam, August

Index of elliptic operators in even subspaces, Mishchenko seminar, Moscow, October

1999

Elliptic operators in subspaces and eta invariants, Conference at Banach Center Warsaw, April

Boundary value problems for general elliptic operators and Eta invariant, Workshop in Potsdam, July

Homotopy classification and index for elliptic boundary value problems, Conference in Karlskrona, Sweden, August

Eta-invariant and the index of elliptic operators in subspaces, Mishchenko seminar, November and December

2000

On some questions of modern elliptic theory (Lecture 1, Lecture 2), Winter School in Voronezh, February

Homotopy classification and index for elliptic boundary value problems, Conference in Potsdam, February

Eta-invariant and the index of elliptic operators in subspaces, Lomonosov conference, Moscow, May

Eta-invariant and elliptic operators in subspaces, AMS International Meeting AMSSCAND in Odense, Denmark, June

Homotopy invariants of boundary value problems, Conference PDE2000 at Clausthal, Germany, July

Eta invariant of even order operators, Conference at Potsdam, October

Eta-invariant and parity conditions, Fomenko seminar, Moscow, November 

2001

The index for a class of nonlocal boundary value problems. Spring School in Potsdam, February

On the index of elliptic operators on manifolds with a covering on the boundary. Conference Topology, analysis and related topics in the honor of A.S. Mishchenko, Moscow, August

Index defects on manifolds with a covering on the boundary, Conference EPAG2001, Potsdam, August

On the index of elliptic operators on manifolds with a covering on the boundary, Conference at Banach center in Bedlewo, Poland, September

On the index of nonlocal boundary value problems. Mishchenko seminar in Moscow, Oktober

Boundary value problems on manifolds with fibered boundary. Workshop in PDE. Potsdam, November

 2002

On the index of classical boundary value problems, 2 talks at Mishchenko seminar. Moscow, January

On the index of nonlocal boundary value problems, Mishchenko seminar. Moscow, January  

Eta invariant and parity conditions, Conference “Diff. Geom. And Geom. Analysis” in Tianjin, China, August

Index defects for boundary value problems and the eta-invariant. ICM2002, Beijing, China. August

Lectures on K-theory at Potsdam University,(Joint with Prof. B. Yu. Sternin)

2003

Elliptic operators on singular manifolds and K-theory, Potsdam, March

Elliptic operators on singular manifolds and K-homology , Krynica, Poland, April

Elliptic operators on singular manifolds and K-homology , Moscow, Russia, June

Elliptic operators on singular manifolds and K-homology , Crimea, Ukrain, September

10 Lectures “K-theory and the Atiyah-Singer index theorem” at IUM, Moscow (Joint with Prof. B. Yu. Sternin)

2004

On the homotopy classification problem in elliptic theory on manifolds with singularities, Bedlewo, Poland, February

On the homotopy classification problem in elliptic theory on manifolds with singularities, Potsdam, Germany, March

On the homotopy classification problem in elliptic theory on manifolds with singularities, Paris, France, April

10 Lectures “Dirac operator” at IUM, Moscow (Joint with Prof. B. Yu. Sternin)

2005

On the homotopy classification of elliptic operators on manifolds with edges, Moscow, Russia, February

Classification of elliptic operators and K-homology, Hannover, Germany, March

Some applications of K-homology to elliptic theory on singular manifolds, Mainz, Germany, June

Homotopy classification in elliptic theory on manifolds with singularities, Lyon, France, June

 

Homotopy classification in elliptic theory on stratified manifolds, Moscow, Russia, August

 

Homotopy classification in elliptic theory on manifolds with singularities, Crimea, Ukrain, September

 

Homotopy classification of elliptic operators on stratified manifolds, Muenster, Germany, November

 

2006

 

On the homotopy classification of elliptic operators on stratified manifolds, Bedlewo, Poland, January

 

Homotopy classification of elliptic operators on manifolds with corners, Potsdam, Germany, August

 

*On the homotopy classification of elliptic operators on manifolds with corners, Oldenburg, Germany, August

 

*Homotopy classification  of elliptic operators on stratified manifolds, ICM, Madrid, Spain, August

 

 

 

 

 

Some papers can be downloaded from the archive. Some of the Preprints are available at the Potsdam University preprint server.

Please, do not hesitate to e-mail me if You would like to have the papers in a different format.

 

 

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